On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives

Authors

  • V. Melnik Kyiv National Taras Shevchenko University, Kyiv, Ukraine
  • P. Kasyanov Institute for Applied and System Analysis National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • A. M. Piccirillo Second University of Naples, Aversa, Italy 

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Abstract

We consider some classes of Banach spaces with integrable derivatives. An important compactness lemma for nonreflexive spaces is obtained. However some main topological properties for the given spaces are obtained.

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Published

2008-09-25

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Articles

How to Cite

Melnik, V., et al. “On Some Approximations and Main Topological Descriptions for Special Classes of Banach Spaces With Integrable Derivatives”. Methods of Functional Analysis and Topology, vol. 14, no. 3, Sept. 2008, pp. 255-70, https://zen.imath.kiev.ua/index.php/mfat/article/view/389.